Q: What are the factor combinations of the number 12,475,775?

 A:
Positive:   1 x 124757755 x 249515513 x 95967523 x 54242525 x 49903165 x 191935115 x 108485299 x 41725325 x 38387575 x 216971495 x 83451669 x 7475
Negative: -1 x -12475775-5 x -2495155-13 x -959675-23 x -542425-25 x -499031-65 x -191935-115 x -108485-299 x -41725-325 x -38387-575 x -21697-1495 x -8345-1669 x -7475


How do I find the factor combinations of the number 12,475,775?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 12,475,775, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 12,475,775
-1 -12,475,775

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,475,775.

Example:
1 x 12,475,775 = 12,475,775
and
-1 x -12,475,775 = 12,475,775
Notice both answers equal 12,475,775

With that explanation out of the way, let's continue. Next, we take the number 12,475,775 and divide it by 2:

12,475,775 ÷ 2 = 6,237,887.5

If the quotient is a whole number, then 2 and 6,237,887.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 12,475,775
-1 -12,475,775

Now, we try dividing 12,475,775 by 3:

12,475,775 ÷ 3 = 4,158,591.6667

If the quotient is a whole number, then 3 and 4,158,591.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 12,475,775
-1 -12,475,775

Let's try dividing by 4:

12,475,775 ÷ 4 = 3,118,943.75

If the quotient is a whole number, then 4 and 3,118,943.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 12,475,775
-1 12,475,775
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15132325651152993255751,4951,6697,4758,34521,69738,38741,725108,485191,935499,031542,425959,6752,495,15512,475,775
-1-5-13-23-25-65-115-299-325-575-1,495-1,669-7,475-8,345-21,697-38,387-41,725-108,485-191,935-499,031-542,425-959,675-2,495,155-12,475,775

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